Related papers: Commutators and Sobolev spaces
This paper has been withdrawn by the author, due to an error in relation (11).
This paper has been withdrawn by the author due to an error in the proof of Theorem 1.
Anti-cocommutative elements were introduced by Wang, Zhang, Zhuang (2013) in their paper Coassociative Lie Algebras. We use this notion to extend universal enveloping algebras of Lie algebras with regards to their Hopf structure, and see if…
This paper has been withdrawn because it is superseded by quant-ph/9905084 "Bayesian analysis of Bell inequalities.
This paper has been withdrawn by the author due to text overlap with arXiv:1102.5004, as well as omission of proper citations to arXiv:1110.4655 and arXiv:1111.0313
This paper has been withdrawn due to an error, and no further revisions will be made.
This paper has been withdrawn due to crucial erros in equations (24)--(31).
The paper is being withdrawn since the results are incorporated in paper arxiv.org/abs/math.AG/0306195.
A translation of the famous paper of Benoist and Quint, `Mesures stationnaires et ferm\'es invariants des espaces homog\'enes I', Ann. Math. 174 (2011).
This paper has been withdrawn by the first author due to incomplete bibliography and incorporation of multiple formats in the same file.
This paper has been withdrawn by the author, due to errors in the figures.
This paper has been withdrawn by the author, due to a recent article by Kriete and Moorhouse (Linear relations in the Calkin algebra for composition operators, Trans. AMS, 359 (2007), 2915-2944) which includes more general results.
This paper has been withdrawn by the author because of copyright reasons.
Again, this preprint has been combined with hep-ph/0207106, which is co-authored by both of us. Therefore, this preprint has been withdrawn. Readers are welcome to refer to hep-ph/0207106.
This paper has been withdrawn. The results are now part of math.GR/9804072.
Due to unsuitable attempt to connect the base theory in hep-th/0106074 to noncommutative field theory, this paper has been withdrawn by the author.
Anti-cocommutativity was introduced by Wang, Zhuang, Zhang (2013) in their paper Coassociative Lie algebras. Since universal enveloping algebras of Lie algebras are connected Hopf algebras, we extend enveloping algebras using the notion of…
This paper was withdrawn and incorporated into section II of cond-mat/0310512
This paper has been withdrawn. A much-improved version can be found at hep-ph/0209176.
This paper is withdrawn because of an error in Lemma 3.1